TSTP Solution File: SYO390^5 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYO390^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n028.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 09:11:06 EDT 2024

% Result   : Theorem 0.13s 0.37s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (   7 unt;   2 typ;   0 def)
%            Number of atoms       :   31 (  16 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   21 (   9   ~;   0   |;   4   &)
%                                         (   3 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   38 (  14 fml;  24 var)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   2 usr;   3 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   12 (   8   !;   4   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_2,type,
    sK0: $o ).

tff(func_def_3,type,
    sK1: $o ).

tff(f13,plain,
    $false,
    inference(trivial_inequality_removal,[],[f12]) ).

tff(f12,plain,
    sK1 != sK1,
    inference(definition_unfolding,[],[f11,f10]) ).

tff(f10,plain,
    sK0 = sK1,
    inference(cnf_transformation,[],[f9]) ).

tff(f9,plain,
    ( ( sK0 != sK1 )
    & ( sK0 = sK1 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f7,f8]) ).

tff(f8,plain,
    ( ? [X0: $o,X1: $o] :
        ( ( (X0) != (X1) )
        & ( (X0) = (X1) ) )
   => ( ( sK0 != sK1 )
      & ( sK0 = sK1 ) ) ),
    introduced(choice_axiom,[]) ).

tff(f7,plain,
    ? [X0: $o,X1: $o] :
      ( ( (X0) != (X1) )
      & ( (X0) = (X1) ) ),
    inference(ennf_transformation,[],[f6]) ).

tff(f6,plain,
    ~ ! [X0: $o,X1: $o] :
        ( ( (X0) = (X1) )
       => ( (X0) = (X1) ) ),
    inference(fool_elimination,[],[f5]) ).

tff(f5,plain,
    ~ ! [X0: $o,X1: $o] :
        ( ( (X0)
        <=> (X1) )
       => ( (X0) = (X1) ) ),
    inference(rectify,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ! [X0: $o,X1: $o] :
        ( ( (X0)
        <=> (X1) )
       => ( (X0) = (X1) ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ! [X0: $o,X1: $o] :
      ( ( (X0)
      <=> (X1) )
     => ( (X0) = (X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cEXT_eq_0) ).

tff(f11,plain,
    sK0 != sK1,
    inference(cnf_transformation,[],[f9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem    : SYO390^5 : TPTP v8.2.0. Released v4.0.0.
% 0.08/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon May 20 09:22:37 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.35  % (30851)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36  % (30854)WARNING: value z3 for option sas not known
% 0.13/0.36  % (30858)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.36  % (30854)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.36  % (30853)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.36  % (30855)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.36  % (30856)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.36  % (30852)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.36  % (30857)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.36  Detected minimum model sizes of [1]
% 0.13/0.36  Detected maximum model sizes of [3]
% 0.13/0.36  TRYING [1]
% 0.13/0.36  % (30855)Also succeeded, but the first one will report.
% 0.13/0.36  TRYING [1]
% 0.13/0.36  % (30856)First to succeed.
% 0.13/0.36  % (30858)Also succeeded, but the first one will report.
% 0.13/0.36  TRYING [2]
% 0.13/0.36  % (30852)Also succeeded, but the first one will report.
% 0.13/0.36  % (30856)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30851"
% 0.13/0.37  % (30854)Also succeeded, but the first one will report.
% 0.13/0.37  Detected minimum model sizes of [1]
% 0.13/0.37  Detected maximum model sizes of [4]
% 0.13/0.37  TRYING [1]
% 0.13/0.37  TRYING [2]
% 0.13/0.37  % (30856)Refutation found. Thanks to Tanya!
% 0.13/0.37  % SZS status Theorem for theBenchmark
% 0.13/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37  % (30856)------------------------------
% 0.13/0.37  % (30856)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37  % (30856)Termination reason: Refutation
% 0.13/0.37  
% 0.13/0.37  % (30856)Memory used [KB]: 731
% 0.13/0.37  % (30856)Time elapsed: 0.003 s
% 0.13/0.37  % (30856)Instructions burned: 2 (million)
% 0.13/0.37  % (30851)Success in time 0.016 s
%------------------------------------------------------------------------------